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Popular >

simplify sqrt(40)

Solution

simplify

40

Solution

210

+1

Decimal Notation

6.32455 \dots

Solution steps

40

Prime factorization of

40 : 2^{3} \cdot 5

= 2^{3} \cdot 5

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} \cdot 5 = 2^{2} \cdot 2 \cdot 5

= 2^{2} \cdot 2 \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 2 \cdot 5 = 2^{2} 2 \cdot 5

= 2^{2} 2 \cdot 5

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 210

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Frequently Asked Questions (FAQ)

What is sqrt(40) ?
The solution to sqrt(40) is 2sqrt(10)